The above figure is an example of a translation, or the "sliding" of a pre-image to another place in the coordinate plane while not rotating or reflecting the shape. When translating a shape, all segment lengths and angle measures are preserved - the image is congruent to the pre-image. The pre-image is "slid" along a vector to a fixed location, creating an image identical to the pre-image in everything but position. This type of rigid motion is written as T[sub]<(change in x value),(change in y value)>[/sub]. The translation shown in the diagram provided is denoted as T[sub]<-5,-3>[/sub].

Information: Translations